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222828840 = 233351359269
BaseRepresentation
bin11010100100000…
…01100100101000
3120112021212201000
431102001210220
5424021010330
634035555000
75344004523
oct1522014450
9515255630
10222828840
11104865673
126275ba60
133721b1b0
1421845bba
1514868560
hexd481928

222828840 has 256 divisors, whose sum is σ = 816480000. Its totient is φ = 53720064.

The previous prime is 222828839. The next prime is 222828847. The reversal of 222828840 is 48828222.

222828840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222828795 and 222828804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222828847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828226 + ... + 828494.

It is an arithmetic number, because the mean of its divisors is an integer number (3189375).

Almost surely, 2222828840 is an apocalyptic number.

222828840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222828840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

222828840 is an abundant number, since it is smaller than the sum of its proper divisors (593651160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222828840 is a wasteful number, since it uses less digits than its factorization.

222828840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 222828840 is about 14927.4525623095. The cubic root of 222828840 is about 606.2575123595.

The spelling of 222828840 in words is "two hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred forty".